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State the pro...

Question

State the property represented by the following.
$16 \times (29 - 41) = 16 \times 29 - 16 \times 41$

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Solution

Distributive property of multiplication over subtraction.

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Q. State the property used in each of the following statements:
(i) 19 × 17 = 17 × 19
(ii) (16 × 32) is a whole number
(iii) (29 × 36) × 18 = 29 × (36 × 18)
(iv) 1480 × 1 = 1480
(v) 1732 × 0 = 0
(vi) 72 × 98 + 72 × 2 = 72 × (98 + 2)
(vii) 63 × 126 − 63 × 26 = 63 × (126 − 26)

Q. Mark true or false.
(a) (100 + 10) + 5 = 100 + (10 + 5) ____
(b) 100 − (10 − 5) = (100 − 10) − 5 ____
(c) (72 − 36) − 20 = 72 − (36 − 20) ____
(d) (68 × 4) × 20 = 68 × (4 × 20) ____
(e) 7(6 − 3) = 7 × 6 − 7 × 3 ____
(f) 20 × 30 = 30 × 20 ____
(g) 87 − 41 = 41 − 87 ____
(h) 16 × 4 = 4 × 16 ____
(i) 480 + 0 = 0 + 480 ____
(j) (16 + 7) + 3 = 16 + (7 + 3) ____

Solve using the distributive property.

$722 \times 24 + 722 \times 5 + 722 \times 16$

Q. Question 5(iii)
Name the property under multiplication used in each of the following:

\frac{- 19}{29} \times \frac{29}{- 19} = 1

State the property represented by the following.

$16 \times (9 + 41) = 16 \times 9 + 16 \times 41$

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